Glimpses of Soliton Theory

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Author :
Release : 2010
Genre : Mathematics
Kind :
Book Rating : 450/5 ( reviews)

Glimpses of Soliton Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Glimpses of Soliton Theory write by Alex Kasman. This book was released on 2010. Glimpses of Soliton Theory available in PDF, EPUB and Kindle. Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --

Basic Methods Of Soliton Theory

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Release : 1996-08-22
Genre : Science
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Book Rating : 005/5 ( reviews)

Basic Methods Of Soliton Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Basic Methods Of Soliton Theory write by Ivan V Cherednik. This book was released on 1996-08-22. Basic Methods Of Soliton Theory available in PDF, EPUB and Kindle. In the 25 years of its existence Soliton Theory has drastically expanded our understanding of “integrability” and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines.The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications.Differential algebra (local conservation laws, Bäcklund-Darboux transforms), algebraic geometry (theta and Baker functions), and the inverse scattering method (Riemann-Hilbert problem) with well-grounded preliminaries are applied to various equations including principal chiral fields, Heisenberg magnets, Sin-Gordon, and Nonlinear Schrödinger equation.

Soliton Theory

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Release : 1990
Genre : Evolution equations, Nonlinear
Kind :
Book Rating : 918/5 ( reviews)

Soliton Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Soliton Theory write by Allan P. Fordy. This book was released on 1990. Soliton Theory available in PDF, EPUB and Kindle. A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.

Solitons

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Release : 2012-12-06
Genre : Science
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Book Rating : 937/5 ( reviews)

Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solitons write by Muthusamy Lakshmanan. This book was released on 2012-12-06. Solitons available in PDF, EPUB and Kindle. A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.

Soliton Theory and Its Applications

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Release : 2013-03-14
Genre : Mathematics
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Book Rating : 027/5 ( reviews)

Soliton Theory and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Soliton Theory and Its Applications write by Chaohao Gu. This book was released on 2013-03-14. Soliton Theory and Its Applications available in PDF, EPUB and Kindle. Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.